The Rogers-Ramanujan Identities, the Finite General Linear Groups, and the Hall-Littlewood Polynomials

Details The Rogers-Ramanujan Identities, the Finite General Linear Groups, and the Hall-Littlewood Polynomials The Rogers-Ramanujan Identities, the Finite General Linear Groups, and the Hall-Littlewood Polynomials

1997-12-09

arxiv.org/abs/math/9712236v1

Mathematics

Combinatorics

7 pages

Scientific paper

The Rogers-Ramanujan identities have been studied from the viewpoints of
combinatorics, number theory, affine Lie algebras, statistical mechanics, and
quantum field theory. This note connects the Rogers-Ramanujan identities with
the finite general linear groups and the Hall-Littlewood polynomials of
symmetric function theory.

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